On the maximal general ABC index of graphs with given maximum degree
作者：
Highlights：
• The ABC index is a topological index that has recently found remarkable applications in the study of the strain energy of cycloalkanes as well as in rationalizing the stability of linear and branched alkanes.
• In order to improve the correlation properties of the ABC index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely,ABCα=ABCα(G)=∑uv∈E(G)(du+dv−2dudv)αforanyα∈R∖{0}.
• We obtain some optimization results for ABCα of the connected graph G.
摘要
•The ABC index is a topological index that has recently found remarkable applications in the study of the strain energy of cycloalkanes as well as in rationalizing the stability of linear and branched alkanes.•In order to improve the correlation properties of the ABC index for the heat of formation of alkanes, Furtula et al. considered a generalization of this index, namely,ABCα=ABCα(G)=∑uv∈E(G)(du+dv−2dudv)αforanyα∈R∖{0}.•We obtain some optimization results for ABCα of the connected graph G.
论文关键词：Optimization problems,ABC Index,Generalized ABC index,Degree-based topological indices
论文评审过程：Received 20 March 2020, Revised 8 July 2020, Accepted 12 July 2020, Available online 23 July 2020, Version of Record 23 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125531
